Question

Sara's Sensible Critters makes two kinds of catnip toys: balls (x1) and mice (x2). The relationship between demand and price for balls and mice is: x1 = 1800 - 150p1 x2 = 1500 - 300p2 The cost for a catnip ball is $2 and for the mouse, $3. Sara has only 200 ounces of catnip on hand. A ball uses a tenth of an ounce and a toy mouse uses one-quarter of an ounce. The company wants to determine the optimal level that can maximize the profit. Write the appropriate expression for objective of maximizing profit.

Answer 1

Appropriate expression for profit = MaxZ = (p1-2)x1 +(p2-3)x2

Step-by-step explanation:

to calculate the appropriate expression for objective of maximizing profit, there's a need to first present our data as seen below

Now given that:

Cost of catnip ball $2

Cost of mouse = $3

Price of catnip ball = p1

Price of mouse = p2

Demand of catnip ball = x1

demand of mouse = x2

Profit of catnip ball = p1-2

Profit of mouse = p2-3

Appropriate expression for profit = MaxZ = (p1-2)x1 +(p2-3)x2